tmua 2019 Q15

tmua · Uk · paper2 1 marks Laws of Logarithms Solve a Logarithmic Equation

The numbers $a , b$ and $c$ are each greater than 1 .
The following logarithms are all to the same base:
$$\begin{aligned} \log \left( a b ^ { 2 } c \right) & = 7 \\ \log \left( a ^ { 2 } b c ^ { 2 } \right) & = 11 \\ \log \left( a ^ { 2 } b ^ { 2 } c ^ { 3 } \right) & = 15 \end{aligned}$$
What is this base?

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The numbers $a , b$ and $c$ are each greater than 1 .

The following logarithms are all to the same base:

$$\begin{aligned}
\log \left( a b ^ { 2 } c \right) & = 7 \\
\log \left( a ^ { 2 } b c ^ { 2 } \right) & = 11 \\
\log \left( a ^ { 2 } b ^ { 2 } c ^ { 3 } \right) & = 15
\end{aligned}$$

What is this base?

Paper Questions

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